Toric Promotion
Combinatorics
2022-09-20 v3
Abstract
We introduce toric promotion as a cyclic analogue of Sch\"utzenberger's promotion operator. Toric promotion acts on the set of labelings of a graph . We discuss connections between toric promotion and previously-studied notions such as toric posets and friends-and-strangers graphs. Our main theorem provides a surprisingly simple description of the orbit structure of toric promotion when is a forest.
Cite
@article{arxiv.2112.06843,
title = {Toric Promotion},
author = {Colin Defant},
journal= {arXiv preprint arXiv:2112.06843},
year = {2022}
}
Comments
10 pages, 5 figures, to be published in Proceedings of the AMS